The induction, however, continues to increase indefinitely, though very slowly.
In the case of imperfect gases, all the available experimental evidence shows that the specific volume tends towards its ideal value, V =Re/p, in the limit, when the pressure is indefinitely reduced and the molecules are widely separated so as to eliminate the effects of their mutual actions.
Science would solve everything, prosperity would grow indefinitely, and people would thrive.
Since the poorest nations will improve their financial conditions indefinitely, this is a long-term trend toward peace.
Repeating the process with the arcs AC and CB, and continuing the repetition indefinitely, we divide up the required area and the remainder of the triangle ATB into corresponding elements, each element of the former being double the corresponding elements of the latter.
Autocrats can hold power indefinitely if they control the media, the military, business, the money, and information.
He can't expect to keep sneaking up to visit her indefinitely and hope to get away with it.
If, however, this non-magnetic substance is cooled to a temperature a few degrees below freezing-point, it becomes as strongly magnetic as average cast-iron (µ = 62 for H = 40), and retains its magnetic properties indefinitely at ordinary temperatures.
If, as Hegel asserted, our experience is all knowledge, and if knowledge is indefinitely transformed by the conditions of knowing, then we are tempted to regard the object as superfluous, and to treat our innate conviction that knowledge has reference to objects as a delusion which philosophical reflection is destined to dispel.
The first moment of a plane figure with regard to a line in its plane may be regarded as obtained by dividing the area into elementary strips by a series of parallel lines indefinitely close together, and concentrating the area of each strip at its centre.
A'Ran was gone indefinitely for a surge operation in his war, leaving her alone with her thoughts.
He surrendered, and his defence appears to have been injudiciously conducted; at any rate he was fined 200 marks, and condemned to be pilloried three times, to be imprisoned indefinitely, and to find sureties for his good behaviour during seven years.
When once obtained, it may be indefinitely preserved.
We have seen that the efficiency of an electromagnetic engine is greatest when the current is indefinitely small, and then the rate at which it works is also indefinitely small.
It they are to be tested, an indefinitely large number of special studies must be made, for which the original materials must be collected and examined.
It was clearly to the interest of each family to preserve indefinitely its own hereditary slaves.
P. 16) also worked out, but did not proceed with, a process in which a copper wire whilst receiving a deposit of copper was continuously passed through the drawplate, and thus indefinitely extended in length.
Thus we arrive at the differential coefficient of f(x) as the limit of the ratio of f (x+8) - f (x) to 0 when 0 is made indefinitely small; and this gives an interpretation of nx n-1 as the derived function of xn (ï¿½ 45)ï¿½ This conception of a limit enables us to deal with algebraical expressions which assume such forms as -° o for particular values of the variable (ï¿½ 39 (iii.)).
A mass of glass in a viscous state can be rolled with an iron roller like dough; can be rendered hollow by the pressure of the human breath or by compressed air; can be forced by air pressure, or by a mechanically driven plunger, to take the shape and impression of a mould; and can be almost indefinitely extended as solid rod or as hollow tube.
The process can be almost indefinitely repeated and canes formed of extreme complexity.
- Apocalyptic took an indefinitely wider view of the world's history than prophecy.
A large part of Asir and northern Yemen has never been visited by Turkish troops, and such revenues as are collected, mainly from vexatious customs and transit duties, are quite insufficient to meet the salaries of the officials, while the troops, ill-fed and their pay indefinitely in arrears, live on the country as best they can.
Indefinitely to about the latitude of Khartum.
The term Eres (cedar) of Scripture does not apply strictly to one kind of plant, but was used indefinitely in ancient times, as is the word cedar at present.
Should be indefinitely postponed.
A gas explosion in a fiery mine may be intensified or indefinitely propagated by the dust raised by the explosion itself.
Consequently, at the diet of Nuremberg (1532) a recess was drafted indefinitely extending the religious truce and quashing such cases in the Reichskammergericht as involved Protestant ' In 1527 the pope's capital was sacked by Charles's army.
As we never can hit the bull's eye, we must have literally endless opportunities of aiming at it, so as to get indefinitely nearer the central spot.
Pantheism does not favour free will or immortality, and may move indefinitely near to materialism.
Interradial tentacles may be also developed, so that the total number present may be increased to eight or to an indefinitely large number.
Thus he suggests that man has not eyes of a microscopic delicacy, because he would receive no great advantage from such acute organs, since though adding indefinitely to his speculative knowledge of the physical world they would 1 Yet he leaves open the question whether the Deity has annexed thought to matter as a faculty, or whether it rests on a distinct spiritual principle.
Sometimes development stops altogether, and a layer of undifferentiated parenchyma (the mesodesm) is left between them; or it may continue indefinitely, the central cells keeping pace by their tangential division with the differentiation of tissue on each side.
The sovereigns of Sardinia, Naples, Portugal and Spain were dethroned, the pope was driven from Rome, the Rhine Confederation was extended till France obtained a footing on the Baltic, the grand-duchy of Warsaw was reorganized and strengthened, the promised evacuation of Prussia was indefinitely postponed, an armistice between Russia and Turkey was negotiated by French diplomacy in such a way that the Russian troops should evacuate the Danubian principalities, which Alexander intended to annex to his empire, and the scheme for breaking up the Ottoman empire and ruining England by the conquest of India, which had been one of the most attractive baits in the Tilsit negotiations, but which had not been formulated in the treaty, was no longer spoken of.
M.1 The lakes of Asia are innumerable, and vary in size from an inland sea (such as Lakes Baikal and Balkash) to a highland loch, or the indefinitely extended swamps of Persia.
We are told that we can see " the law at work underneath the more superficial agencies on which attention fixes itself "; it " undergoes temporary suspension," which may last indefinitely; and " there is another agency, in habitual antagonism " to it, namely, " the progress of civilization," which may include every kind of human improvement.
The creation of the state commissions, independent of the city's control, but able to commit the city indefinitely by undertaking expensive works and new debt, was resented.
This ethical teaching, which is indefinitely higher and purer than that of the Old Testament, is yet its true spiritual child, and helps to bridge the chasm that divides the ethics of the Old and New Testaments.
This is really an accretion of undetermined liabilities which has been indefinitely, and probably alternately, advancing and receding for a great number of years, and which no previous minister of finance, or Turkish government, had the courage to face.
"on the complaint of two parishioners" (too often qualified ad hoc by a temporary residence) followed; and since the act had provided no penalty save imprisonment for contempt of court, there followed the scandal of zealous clergymen being lodged in gaol indefinitely "for conscience' sake."
If these equations could be assumed to hold when H is indefinitely small, it would follow that has a finite initial value, from which there would be no appreciable deviation in fields so weak that bH was negligibly small in comparison with a.
Liquids, again, can be poured from one open vessel into another, and can be kept in an uncovered vessel, but a gas tends to diffuse itself indefinitely and must be preserved in a closed reservoir.
As soon as we recognize the part of sensation, we have no reason to deny the common-sense position that each piece of experience has its own quality, which is modified indefinitely by the relations in which it stands.
That the distances traversed by the molecules of a solid are very small in extent is shown by innumerable facts of everyday observation, as for instance, the fact that the surface of a finely-carved metal (such as a plate used for steel engraving) will retain its exact shape for centuries, or again, the fact that when a metal body is coated with gold-leaf the molecules of the gold remain on its surface indefinitely: if they moved through.
Was this vast amount of property to increase indefinitely without contribution to the maintenance of the secular government?
The expression 27ra for the length of the circumference can be deduced by considering the limit of the area cut off from a circle of radius a by a concentric circle of radius a - a, when a becomes indefinitely small; this is an elementary case of differentiation.
It was one of those afternoons which seem indefinitely long before one, in which many events may happen, a large portion of our natural life, though it was already half spent when I started.
So you'd give yourself to me indefinitely in exchange for your tech toys? he asked.
He maintained that, under varying conditions, two substances could combine in an indefinitely large number of different ratios, that there could in fact be a continuous variation in the combining ratio.
If we could drive the engine so fast as to reduce C' to zero, the whole of the energy of the battery would be available, no heat being produced in the wires, but the horse-power of the engine would be indefinitely small.
We cannot, for instance, say that the fraction C _2 I is arithmetically equal to x+I when x= I, as well as for other values of x; but we can say that the limit of the ratio of x 2 - I to x - I when x becomes indefinitely nearly equal to I is the same as the limit of x+ On the other hand, if f(y) has a definite and finite value for y = x, it must not be supposed that this is necessarily the same as the limit which f (y) approaches when y approaches the value x, though this is the case with the functions with which we are usually concerned.
Putting d0/dp=A/0 2 in equation (15), and integrating on the assumption that the small variations of S could be neglected over the range of the experiment, they found a solution of the type, v/0 =f(p) - SA /30 3, in which f(p) is an arbitrary function of p. Assuming that the gas should approximate indefinitely to the ideal state pv = R0 at high temperatures, they put f(p)=Rip, which gives a characteristic equation of the form v= Re/p - SA /30 2 .
In 1638 Peter Minuit on hehalf of this company established a settlement at what is now Wilmington, naming it, in honour of the infant queen Christina, Christinaham, and naming the entire territory, bought by Minuit from the Minquas Indians and extending indefinitely westward from the Delaware river between Bombay Hook and the mouth of the Schuylkill river, " New Sweden."
The volume comprised between the cross-section whose area is S and a consecutive cross-section at distance 0 from it is ultimately SO, when B is indefinitely small; and the area between the corresponding ordinates of the trapezette is (S/1).
By the peace of Jassy, signed in January 1792, she retained Ochakov and the coast between the Bug and the Dniester, and she secured certain privileges for the Danubian principalities, but the Turks remained in Constantinople, and the realization of the famous Greek project, as it was termed, had to be indefinitely postponed.
Dried venom keeps indefinitely, and dissolves readily in water.
In fact, so far as the direct evidence of our senses tells us, matter appears to be indefinitely divisible.
In spite of my fervent hope you can continues indefinitely, I know in my heart, one day it will end.
An ideal gas is a substance possessing very simple thermodynamic properties to which actual gases and vapours appear to approximate indefinitely at low pressures and high temperatures.
It will be noticed that, although the differences between successive terms of the sequence will ultimately become indefinitely small, there will always be intermediate numbers that do not occur in the sequence.